3772166428800 has 1152 divisors, whose sum is σ = 17664662246400. Its totient is φ = 742564454400.

The previous prime is 3772166428783. The next prime is 3772166428831. The reversal of 3772166428800 is 88246612773.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 42089637 + ... + 42179163.

It is an arithmetic number, because the mean of its divisors is an integer number (15333908200).

Almost surely, 2^{3772166428800} is an apocalyptic number.

3772166428800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3772166428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8832331123200).

3772166428800 is an abundant number, since it is smaller than the sum of its proper divisors (13892495817600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3772166428800 is a wasteful number, since it uses less digits than its factorization.

3772166428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89594 (or 89574 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 3772166428800 in words is "three trillion, seven hundred seventy-two billion, one hundred sixty-six million, four hundred twenty-eight thousand, eight hundred".